群体中的大与等概率

Q4 Mathematics

Annales Mathematiques Blaise Pascal Pub Date : 2019-09-04 DOI:10.5802/ambp.388

Khaled K. Jaber, F. Wagner

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引用次数: 3

摘要

我们定义了群的子集的k-一般性和k-大性，并确定了对于各种方程定义的子集，当G^n的k-大子集已经是整个G^n时k的值。我们将此与群中方程解集的内测度联系起来，从而在等式概率群论中得到新的结果和/或证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Largeness and equational probability in groups

We define k-genericity and k-largeness for a subset of a group, and determine the value of k for which a k-large subset of G^n is already the whole of G^n , for various equationally defined subsets. We link this with the inner measure of the set of solutions of an equation in a group, leading to new results and/or proofs in equational probabilistic group theory.

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来源期刊

Annales Mathematiques Blaise Pascal Mathematics-Algebra and Number Theory

CiteScore

0.50

自引率

0.00%

发文量

审稿时长

30 weeks